mole fraction of water in an aqueous solution of 10% glucose is
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10% w/w solution of glucose in water means that 10 g of glucose is present in 100 g of the solution i.e., 10 g of glucose is present in (100−10)g=90 g of water.
Molar mass of glucose (C6H12O6)
=6×12+12×1+6×16=180 gmol(-1)
Then, number of moles of glucose =10/180mol
=0.056 mol
Number of moles of water = 90/18mol(-1)
=5 mol
Mole fraction of glucose (X)= 0.056/(0.056+5)
=0.011
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